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Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

236.

If (x3) is a factor of 2x3+3x217x30, find the remaining factors.

A.

(2x - 5)(x - 2)

B.

(2x - 5)(x + 2)

C.

(2x + 5)(x - 2)

D.

(2x + 5)(x + 2)

Correct answer is D

Divide 2x3+3x217x30 by (x3). You get 2x2+9x+10.

Factorizing, we have 2x2+9x+10=2x2+4x+5x+10

2x(x+2)+5(x+2)

= (2x+5)(x+2)

237.

A binary operation ♦ is defined on the set R, of real numbers by ab=ab4. Find the value of 26

A.

3

B.

324

C.

32

D.

22

Correct answer is C

ab=ab4

26=2×64=124

= 234

= 32

238.

Simplify (164)23

A.

-4

B.

14

C.

18

D.

4

Correct answer is D

(164)23=6423

(43)23=42=16

\therefore \sqrt{(\frac{-1}{64})^{\frac{-2}{3}} = \sqrt{16} = 4

239.

Solve the inequality 2x2+5x30.

A.

x3 or x12

B.

x<12 or x3

C.

3x12

D.

12x3

Correct answer is A

No explanation has been provided for this answer.

240.

P=x:1x6 and Q=x:2<x<9 where xR, find PQ.

A.

x:2x6

B.

x:2x<6

C.

x:2<x<6

D.

x:2<x6

Correct answer is D

No explanation has been provided for this answer.